Show that an implicit solution of 2x sin²(y) dx - (x² + 18) cos(y) dy = 0 is given by In(x² +18) + csc(y) = C. 2x x² + 18 | dy = 0. Find the constant solutions, if any, that were lost in the solution of the differential equation. (Let k represent an arbitrary integer.) Differentiating In(x² + 18) + csc(y) = C we get y = dy dx = 0 or 2x sin²(y) dx +

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